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Q: 8xー3x+x dx

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Q: (n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

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Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: FREE RESPONSE Fictured below is a table of values that represents the graph of an exponential…

A: a) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

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Q: Solve the initial value problem 8+ 3y = ne, e > 0, y(n) = -5. de

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Q: Evaluate the following integrals. x +3 a) dx. Vx? - 4x – 5

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: The origin of a coordinate grid is labeled A. Line segment AB forms an angle of 30° with the x-axis.…

A: find the components

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Q: Q6/Find the derivative (df/dx) f(x) =+5 e* %3D -4 x-7/3 + 5e* x-7/3 + 5e* O 1, O 2 Fr73 + 6e"

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find unit vectors that satisfy the stated conditions.

A: I have provided this answer with full description in step-2.

Q: (2×+5)2xー5 2x -5 3.

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Q: 1. The linear differential equation dx has the integrating factor equal to (Note: Simplify or solve…

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Q: Find the inverse Laplace transforms of the functions: a) F(s) = 9+s/4-s^2 b) F(s) = 1/s(s^2+4)

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Q: By substituting y=xv, solve the given differential equation, (2xy+ x²) dy = 3y² + 2xy with dx the…

A: The given DE is: 2xy+x2dydx=3y2+2xy⇒x22yx+1dydx=3y2+2xy⇒2yx+1dydx=3yx2+2yx⇒dydx=3yx2+2yx2yx+1

Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

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Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: ƏM ƏN 5. In the differential equation (y² – x² -4x-1)dy+ 2y(x+ y+2)dx=0, what is |

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. (100,² + 1) – 352 10 ti + t*j dt

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Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: Given that the initial amount of salt = 20 g    and rate of pumping in=3L/min  Let A be the amount…

Q: Find the derivative of the following functions and simply it whenever possible. 7. y = (xe)x

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Q: Find the distance between the skew lines: y = 1+3t, y = 9, x = 3 + 8t, z = 4 – 9t x = 5 – t, z = 4+…

A: Given equation of line L1: 3+8t   , y=1+3t   , z=4-9t L2:   x=5-t  , y=9   , z=4+8t

Q: Find the derivative of the following functions and simply it whenever possible. 5. y = 4x ln 4x

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Q: Find the vertical and horizontal asymptotes. (b) Find the intervals of increase or decrease. (c)…

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Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: (26ー1) 不t8

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Q: Solve the following equation. (x+4)2+11(x+4)+30=0 List your answers separated by a comma. For…

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Q: Sketch the graph of the given polar equations. 5 17. 0 = %3D

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Q: Find the area of the parallelogram that has u =i- 2j + k and V=2j+ k as adjacent sides. NOTE: Enter…

A: Find the area of parallelogram

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Q: Find the area of the shaded region. r = V cos20 r = 6 cos 0 NOTE: Enter the exact answer. A

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Q: 3 b. Compute the integral S 6x 2 dx using a limit of Riemann sums. Use right endpoints as evaluation…

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Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: S10.re", 2.3+3x2 - 12x, r20 r <0 Given: f(x) = %3D (b) Determine the extreme values of f on [-2, 2].…

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x = u + v)…

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Q: or false Let the domain of discourse be the set of all non negative even integers. Then, Vx,3y, (y2…

A: Solution of the problem as follows

Q: Let a Consicler the matrix 4. A= S23 87.3. Find Mz, C1z and Mzz, Czz

A: Given,A=214523873If A=a11a12a13a21a22a23a31a32a33ThenM12=a21a23a31a33 And C12=(-1)1+2M12 And…

Q: Question Use the first derivative test to find the location of all local extrema in the interval…

A: f(x)=-2(4x-5)e4xConsider…

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Q: 4. Find the average value of the function over [1,4] and all values of x in this interval for which…

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Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (z, y). Don't…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Three students were given the following problem: Unfortunately, we cannot make out the actual…

A: Three students were given the following problem.∫? dx Unfortunately, we cannot make out the actual…

Q: Find the area of the figure. (Sides meet at right angles.) 11 m 5 m 9 m 9 m 4 m 4 m 3 m 3 m

A: Area of a rectangle= length × breadth

Q: Find parametric equations of the line through (-3,0,9) that is parallel to 2i-6j+k. x(t)= 11 y(t) =…

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